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masya89 [10]
3 years ago
10

4x^2-7x=15 Solve by factoring and please please please explain or show the work

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

x=3 and x=-1.25

Step-by-step explanation:

4x^2-7x=15

subtract 15 from each side:

4x^2-7x-15=0

factor  (trying different numbers that the sum is 7 and the quotient is 15)

(2x-6 )(2x+2.5 )=0

2x-6=0 add 6 to each side

2x=6

x=3

2x+2.5=0   subtract 2.5 from each side

2x=-2.5

x=-1.25

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What number must you add to complete the square <br> x^2 + 12x = -3
mihalych1998 [28]

12 /2=6 then 6 squared =36

Add 36 to both sides

4 0
3 years ago
$1000 invested with compound interest at a rate of 15% per year for 9 years.
ivolga24 [154]

Answer:

The Final Investment Value is \$3,517.88  

Step-by-step explanation:

we know that

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=9\ years\\ P=\$1,000\\ r=0.15\\n=1  

substitute in the formula above  

A=1,000(1+\frac{0.15}{1})^{1*9}  

A=\$3,517.88  

5 0
4 years ago
Can somebody help? make it correct please.
Bumek [7]

Answer:

16

Step-by-step explanation:

To get the next number just mulitply by 4

4*4=16

( just to make sure we're correct)

16*4=64

64*4=256

256*4=1024

1024*4=4096

7 0
3 years ago
A glass is 1/3 full. Then 40cm3 of orange juice is poured in.
Sphinxa [80]

Answer:

105 cm³

Step-by-step explanation:
i think lol

3 0
2 years ago
If AD = 5.1cm, find the height (in cm) of the triangle.
Irina-Kira [14]

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

5 0
3 years ago
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